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Finding the Third Proportional to 619,223.06 and 1,329,998.06

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Solution

The third proportional to 619,223.06 and 1,329,998.06 is: 2,856,635.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,223.06 : 1,329,998.06 = 1,329,998.06 : x
  2. Step 2: Convert to fraction form
    619,223.06/1,329,998.06 = 1,329,998.06/x
  3. Step 3: Cross multiply
    619,223.06x = 1,329,998.06 × 1,329,998.06
  4. Step 4: Simplify right side
    619,223.06x = 1,768,894,846,253.75
  5. Step 5: Solve for x
    x = 1,768,894,846,253.75/619,223.06
  6. Step 6: Final answer
    x = 2,856,635.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.